Advanced Matrix Calculator
Matrix A
Matrix B
Matrix Calculator — Add, Subtract, Multiply, Determinant, and Inverse
This advanced matrix calculator helps you solve common matrix operations fast. You can enter values for Matrix A and Matrix B, choose the matrix size, and calculate results instantly. It’s useful for linear algebra practice, engineering problems, computer graphics basics, and general math homework.
What You Can Do With This Tool
- Matrix Addition (A + B): Adds each matching element from both matrices.
- Matrix Subtraction (A − B): Subtracts each matching element in B from A.
- Matrix Multiplication (A × B): Multiplies rows of A by columns of B (dimension rules apply).
- Determinant (Det(A)): Gives a single value that describes properties of a square matrix.
- Inverse (A⁻¹): Finds the inverse when it exists (only for square matrices with non-zero determinant).
How to Use the Matrix Calculator
- Choose the number of rows and columns using the sliders.
- Enter numbers in Matrix A and Matrix B (random values appear by default).
- Select an operation: Addition, Subtraction, or Multiply.
- For square matrices, use Det(A) to compute the determinant.
- Use Inverse(A) when the determinant is not zero.
Important Notes (Dimensions & Inverse)
For addition and subtraction, both matrices must have the same size. For multiplication, the number of columns in Matrix A must match the number of rows in Matrix B. The determinant and inverse are defined for square matrices only. If the determinant is 0, the inverse does not exist.
FAQ
Why does multiplication sometimes show an error?
Matrix multiplication requires compatible dimensions: columns of A must equal rows of B.
What does the determinant tell me?
The determinant helps indicate whether a matrix is invertible and is used in many linear algebra formulas.
Why might the inverse not be available?
If the matrix is not square or its determinant equals 0, an inverse cannot be calculated.
